Naked Reissner-Nordstrom singularities and the anomalous magnetic moment of the electron field - art. no. 084014

We study the problem of the quantization of the massive charged Dirac field on a naked Reissner-Nordstrom background. We show that the introduction of an anomalous magnetic moment for the electron field allows a well-defined quantum theory for the one-particle Dirac Hamiltonian, because no boundary condition on the singularity is required. This means that would-be higher o rder corrections can play an essential role in determining physics on the n aked Reissner-Nordstrom background and that a nonpercurbative approach is r equired. Moreover, we show that bound states for the Dirac equation are all owed. Various aspects of the physical picture emerging from our study are a lso discussed, such as the possibility to obtain exotic atomic systems, the formation of black holes by electronic capture, and some interesting consi stency problems involving quantum gravity.